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What is the Least Common Multiple of 55424 and 55437?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 55424 and 55437 is 3072540288.

LCM(55424,55437) = 3072540288

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Least Common Multiple of 55424 and 55437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55424 and 55437, than apply into the LCM equation.

GCF(55424,55437) = 1
LCM(55424,55437) = ( 55424 × 55437) / 1
LCM(55424,55437) = 3072540288 / 1
LCM(55424,55437) = 3072540288

Least Common Multiple (LCM) of 55424 and 55437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55424 and 55437. First we will calculate the prime factors of 55424 and 55437.

Prime Factorization of 55424

Prime factors of 55424 are 2, 433. Prime factorization of 55424 in exponential form is:

55424 = 27 × 4331

Prime Factorization of 55437

Prime factors of 55437 are 3, 17, 1087. Prime factorization of 55437 in exponential form is:

55437 = 31 × 171 × 10871

Now multiplying the highest exponent prime factors to calculate the LCM of 55424 and 55437.

LCM(55424,55437) = 27 × 4331 × 31 × 171 × 10871
LCM(55424,55437) = 3072540288